MATH SOLVE

6 months ago

Q:
# a first number plus twice a second number is 7 twice the first number plus the second totals 29 find the numbers

Accepted Solution

A:

The numbers are 17 and -5Step-by-step explanation:The given is:A first number plus twice a second number is 7Twice the first number plus the second totals 29We need to find the 2 numbersAssume that the 1st number is x and the 2nd number is y∵ x represents the 1st number∵ y represents the 2nd number∵ The first number plus twice the second number is 7∴ x + 2y = 7 ⇒ (1)∵ Twice the first number plus the second totals 29 ∴ 2x + y = 29 ⇒ (2)Now we have system of equations to solve itMultiply equation (1) by -2 to eliminate x∴ -2x - 4y = -14 ⇒ (3)- Add equations (2) and (3)∴ -3y = 15- Divide both sides by -3∴ y = -5Substitute the value of y in equation (20 to find the value of x∵ x + 2(-5) = 7∴ x - 10 = 7- Add 10 to both sides∴ x = 17 The numbers are 17 and -5Learn more:You can learn more about the system of equation in brainly.com/question/2115716#LearnwithBrainly